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Express the following as improper fractions : (a) 7 3 /4

3.  Express the following as improper fractions : 

             (a) 7\frac{3}{4}

             (b) 5\frac{6}{7}

             (c) 2\frac{5}{6}

             (d) 10\frac{3}{5}

            (e) 9\frac{3}{7}

            (f) 8\frac{4}{9}

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The improper fractions of the mixed fractions are given below :-

(a)  7\frac{3}{4}\ =\ \frac{28\ +\ 3}{4}\ =\ \frac{31}{4}

(b)   5\frac{6}{7}\ =\ \frac{35\ +\ 6}{7}\ =\ \frac{41}{7}

(c)  2\frac{5}{6}\ =\ \frac{12\ +\ 5}{6}\ =\ \frac{17}{6}

(d)  10\frac{3}{5}\ =\ \frac{50\ +\ 3}{5}\ =\ \frac{53}{5}

(e)  9\frac{3}{7}\ =\ \frac{63\ +\ 3}{7}\ =\ \frac{66}{7}

(f)   8\frac{4}{9}\ =\ \frac{72\ +\ 4}{9}\ =\ \frac{76}{9}

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